Find the dimensions of a rectangle with perimeter 84 m whose area is as large as possible.

Solve the equation 2x+1=x-3

Agata [3.3K]

How to solve your problem

Topics: Algebra, Quadratic Equation

2

+

1

=

−

3

2x+1=x-3

2x+1=x−3

Solve

1

Subtract

1

from both sides of the equation

2

+

1

=

−

3

2x+1=x-3

2x+1=x−3

2

+

1

−

1

=

−

3

−

1

2x+1{\color{#c92786}{-1}}=x-3{\color{#c92786}{-1}}

2x+1−1=x−3−1

2

Simplify

Subtract the numbers

2

=

−

4

2x=x-4

2x=x−4

3

Subtract

x

from both sides of the equation

2

=

−

4

2x=x-4

2x=x−4

2

−

=

−

4

−

2x{\color{#c92786}{-x}}=x-4{\color{#c92786}{-x}}

2x−x=x−4−x

4

Simplify

Combine like terms

Multiply by 1

Combine like terms

=

−

4

x=-4

x=−4

Solution

=

−

4

5 0

3 years ago

Which shape is a Parallelogram?

mariarad [96]

The top left is the correct answer, because the sides are parallel.

Hope this helps!

5 0

3 years ago

Which graph shows the solution to the following inequality. -5c+2<27

bogdanovich [222]

Answer:

c > -5

Step-by-step explanation:

-5c + 2 < 27

- 2 - 2 Subtract 2 from both sides

-5c < 25 Divide both sides by -5 and flip the sign

c > -5

I graphed the inequality on the graph below.

If this answer is correct, please make me Brainliest!

8 0

3 years ago

Which are the roots of the quadratic function f(b) = 62 – 75? Select two options.

elena55 [62]

Answer:

$b = 5 \sqrt{3} \ or\ b = -5 \sqrt{3}$

Step-by-step explanation:

Given

$f(b) = b^2 - 75$

Required

Determine the roots

To get the root of the function, then f(b) must be 0;

i.e. f(b) = 0

So, the expression becomes

$0 = b^2 - 75$

Add 75 to both sides

$75 + 0 = b^2 - 75 + 75$

$75 = b^2$

Take square roots of both sides

$\sqrt{75} = \sqrt{b^2}$

$\sqrt{75} = b$

Reorder

$b = \sqrt{75}$

Expand 75 as a product of 25 and 3

$b = \sqrt{25*3}$

Split the expression

$b = \sqrt{25} *\sqrt{3}$

$b = \±5 *\sqrt{3}$

$b = \±5 \sqrt{3}$

$b = 5 \sqrt{3} \ or\ b = -5 \sqrt{3}$

The options are not clear enough; however the roots of the equation are $b = 5 \sqrt{3} \ or\ b = -5 \sqrt{3}$

4 0

4 years ago

A frying pan has a radius of 14 centimeters. What is the circumference of the frying pan? Use 22 over 7 for 3.14

katen-ka-za [31]

To find the circumference calculate pi x the diameter of the circle.
Since the radius is 14, the diameter is 28. 3.14 x 28 = about 87.96

3 0

4 years ago